Q. 23.9( 7 Votes )
A toy is in the shape of a square pyramid of base edge 16 centimetres and slant height 10 centimetres. What is the total cost of painting 500 such toys, a 80 rupees per square metre?
Answer :
Given: side of a square = 16cm
Slant Height (l) = 10 cm
We know that,
Surface area of a pyramid
Where, p = perimeter of the base
l = slant height
A = area of the base
Area of a square base (A) = side × side
= 16 × 16
Area of a square base (A) = 256 cm2
Perimeter of a square base (p) = 4 × side
= 4 × 16
Perimeter of a square base (p) = 64 cm
Since, Surface area of a pyramid
⇒ Surface area of a pyramid
Total surface area of pyramid shaped toys = 500 × 576
= 288000cm2
= 28.8m2
Cost of 1m2 = 80Rs.
Cost of 28.8m2 = 28.8 × 80 = 2304 Rs.
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